Selection-Mutation dynamics with spatial dependence

Pierre Emmanuel Jabin; Raymond Strother Schram

doi:10.1016/j.matpur.2023.06.001

Selection-Mutation dynamics with spatial dependence

Pierre Emmanuel Jabin
, Raymond Strother Schram

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We study the limit of many small mutations for a model of population dynamics. The population is structured by phenological traits and is spatially inhomogeneous. The various sub-populations compete for the same nutrient which diffuses through the spatial environment, with the possibility of creating fast time oscillations in the dynamics. We control those oscillations by the stability of an auxiliary system (without mutations) which guides the dynamics over fast time scales.

Original language	English (US)
Pages (from-to)	1-17
Number of pages	17
Journal	Journal des Mathematiques Pures et Appliquees
Volume	176
DOIs	https://doi.org/10.1016/j.matpur.2023.06.001
State	Published - Aug 2023

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1016/j.matpur.2023.06.001

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title = "Selection-Mutation dynamics with spatial dependence",

abstract = "We study the limit of many small mutations for a model of population dynamics. The population is structured by phenological traits and is spatially inhomogeneous. The various sub-populations compete for the same nutrient which diffuses through the spatial environment, with the possibility of creating fast time oscillations in the dynamics. We control those oscillations by the stability of an auxiliary system (without mutations) which guides the dynamics over fast time scales.",

author = "Jabin, \{Pierre Emmanuel\} and Schram, \{Raymond Strother\}",

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doi = "10.1016/j.matpur.2023.06.001",

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AU - Jabin, Pierre Emmanuel

AU - Schram, Raymond Strother

PY - 2023/8

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N2 - We study the limit of many small mutations for a model of population dynamics. The population is structured by phenological traits and is spatially inhomogeneous. The various sub-populations compete for the same nutrient which diffuses through the spatial environment, with the possibility of creating fast time oscillations in the dynamics. We control those oscillations by the stability of an auxiliary system (without mutations) which guides the dynamics over fast time scales.

AB - We study the limit of many small mutations for a model of population dynamics. The population is structured by phenological traits and is spatially inhomogeneous. The various sub-populations compete for the same nutrient which diffuses through the spatial environment, with the possibility of creating fast time oscillations in the dynamics. We control those oscillations by the stability of an auxiliary system (without mutations) which guides the dynamics over fast time scales.

UR - https://www.scopus.com/pages/publications/85161880302

UR - https://www.scopus.com/pages/publications/85161880302#tab=citedBy

U2 - 10.1016/j.matpur.2023.06.001

DO - 10.1016/j.matpur.2023.06.001

M3 - Article

AN - SCOPUS:85161880302

SN - 0021-7824

VL - 176

SP - 1

EP - 17

JO - Journal des Mathematiques Pures et Appliquees

JF - Journal des Mathematiques Pures et Appliquees

ER -

Selection-Mutation dynamics with spatial dependence

Abstract

All Science Journal Classification (ASJC) codes

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